Question

a person pays an $8 cover charge to hear a hip - hop band. let t be the total cost (in dollars) of the cover charge plus d drinks. complete parts (a) through (e).
a. complete the table to help find an equation that describes the relationship between d and t. show the arithmetic to help you see a pattern.

drink cost (dollars) d	total cost (dollars) t
3	\square (do not simplify.)
4	\square (do not simplify.)
5	\square (do not simplify.)
d	\square (do not simplify.)

Explanation:

Step1: Understand the cost structure

The total cost \( T \) is the sum of the cover charge (\$8) and the drink cost (\( d \)). So the formula for \( T \) is \( T = 8 + d \).

Step2: Calculate for \( d = 2 \)

Substitute \( d = 2 \) into the formula: \( T = 8 + 2 \)

Step3: Calculate for \( d = 3 \)

Substitute \( d = 3 \) into the formula: \( T = 8 + 3 \)

Step4: Calculate for \( d = 4 \)

Substitute \( d = 4 \) into the formula: \( T = 8 + 4 \)

Step5: Calculate for \( d = 5 \)

Substitute \( d = 5 \) into the formula: \( T = 8 + 5 \)

Step6: General formula for \( d \)

Using the same logic, for any \( d \), \( T = 8 + d \)

Answer:

For \( d = 2 \): \( 8 + 2 \)
For \( d = 3 \): \( 8 + 3 \)
For \( d = 4 \): \( 8 + 4 \)
For \( d = 5 \): \( 8 + 5 \)
For general \( d \): \( 8 + d \)